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Angles formed by opposite rays. Angles that share a common side and a common vertex, but have no common interior points.

Mar 31, 2015

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Edgardo Whitman
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Page 1: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 2: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Angles formed by opposite rays.

Page 3: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Angles that share a common side and a common vertex, but have no common interior points.

Page 4: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Two angle whose measures have a sum of 90 degrees.

or

Page 5: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Two angles whose measures have a sum of 180 degrees.

or ?135

Page 6: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Name a pair of vertical angles.

Name a pair of adjacentAngles.

Name a pair of complementary angles.

Name a pair of supplementary angles.

Page 7: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

When looking at a diagram, we can conclude:

Vertical angles

Adjacent angles

Adjacent supplementary angles

Page 8: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Angles or segments are congruent

Angles are right angles

Lines are parallel or perpendicular

(unless there are marks that give this information)

Page 9: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 10: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

Draw two intersecting lines.

Number the angles as shown.

Use a protractor to measure each angle.

Make a conjecture about vertical angles.

Page 11: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 12: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 13: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

If two angles are complementary to the same angle (or congruent angles), then the two angles are congruent.

Page 14: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

If two angles are supplementary to the same angle (or congruent angles), then the two angles are congruent.

Page 15: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

All right angles are congruent.

Page 16: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 17: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 18: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 19: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.
Page 20: Angles formed by opposite rays.  Angles that share a common side and a common vertex, but have no common interior points.

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